Find Three Ordered Pair Solutions 5x-8y=-29

$5 x - 8 y = - 29$

Step 1

Solve the equation for $y$ .

Subtract $5 x$ from both sides of the equation.

$- 8 y = - 29 - 5 x$

Divide each term in $- 8 y = - 29 - 5 x$ by $- 8$ and simplify.

Divide each term in $- 8 y = - 29 - 5 x$ by $- 8$ .

$\frac{- 8 y}{- 8} = \frac{- 29}{- 8} + \frac{- 5 x}{- 8}$

Simplify the left side.

Cancel the common factor of $- 8$ .

Cancel the common factor.

$\frac{- 8 y}{- 8} = \frac{- 29}{- 8} + \frac{- 5 x}{- 8}$

Divide $y$ by $1$ .

$y = \frac{- 29}{- 8} + \frac{- 5 x}{- 8}$

Simplify the right side.

Simplify each term.

Dividing two negative values results in a positive value.

$y = \frac{29}{8} + \frac{- 5 x}{- 8}$

Dividing two negative values results in a positive value.

$y = \frac{29}{8} + \frac{5 x}{8}$

Step 2

Choose any value for $x$ that is in the domain to plug into the equation.

Step 3

Choose $0$ to substitute in for $x$ to find the ordered pair.

Remove parentheses.

$y = \frac{29}{8} + \frac{5 (0)}{8}$

Simplify $\frac{29}{8} + \frac{5 (0)}{8}$ .

Combine the numerators over the common denominator.

$y = \frac{29 + 5 (0)}{8}$

Simplify the expression.

Multiply $5$ by $0$ .

$y = \frac{29 + 0}{8}$

Add $29$ and $0$ .

$y = \frac{29}{8}$

Use the $x$ and $y$ values to form the ordered pair.

$(0, \frac{29}{8})$

Step 4

Choose $1$ to substitute in for $x$ to find the ordered pair.

Remove parentheses.

$y = \frac{29}{8} + \frac{5 (1)}{8}$

Simplify $\frac{29}{8} + \frac{5 (1)}{8}$ .

Combine the numerators over the common denominator.

$y = \frac{29 + 5 (1)}{8}$

Simplify the expression.

Multiply $5$ by $1$ .

$y = \frac{29 + 5}{8}$

Add $29$ and $5$ .

$y = \frac{34}{8}$

Cancel the common factor of $34$ and $8$ .

Factor $2$ out of $34$ .

$y = \frac{2 (17)}{8}$

Cancel the common factors.

Factor $2$ out of $8$ .

$y = \frac{2 \cdot 17}{2 \cdot 4}$

Cancel the common factor.

$y = \frac{2 \cdot 17}{2 \cdot 4}$

Rewrite the expression.

$y = \frac{17}{4}$

Use the $x$ and $y$ values to form the ordered pair.

$(1, \frac{17}{4})$

Step 5

Choose $2$ to substitute in for $x$ to find the ordered pair.

Remove parentheses.

$y = \frac{29}{8} + \frac{5 (2)}{8}$

Simplify $\frac{29}{8} + \frac{5 (2)}{8}$ .

Combine the numerators over the common denominator.

$y = \frac{29 + 5 (2)}{8}$

Simplify the expression.

Multiply $5$ by $2$ .

$y = \frac{29 + 10}{8}$

Add $29$ and $10$ .

$y = \frac{39}{8}$

Use the $x$ and $y$ values to form the ordered pair.

$(2, \frac{39}{8})$

Step 6

These are three possible solutions to the equation.

$(0, \frac{29}{8}), (1, \frac{17}{4}), (2, \frac{39}{8})$

Step 7

Find Three Ordered Pair Solutions 5x-8y=-29

Related Questions

Support LCMGCF.com by disabling your adblocker.